# Questions tagged [wolfram-alpha]

For mathematical questions related to the usage of Wolfram Alpha.

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63 views

### How did the author solve this integral?

I have the following spherical density distribution: $\rho(x, z) = \frac{1}{\sqrt{x^2 + z^2}\left(1+\sqrt{x^2+z^2}\right)^2}$ which I have broken into a "line of sight" dimension $z$ and a &...
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### How can I evaluate this complex integral equation on Wolfram?

I need to evaluate the complex line integrals in the following equation: $$g(z)=\frac{\int_0^z\zeta^{-5/6}(\zeta-1)^{-1/2}d\zeta}{\int_0^1\zeta^{-5/6}(\zeta-1)^{-1/2}d\zeta}.$$ Can someone advise me ...
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### Wolfram Alpha for Integer Programming

I am new to Wolfram Alpha. The following command gives me real number solutions: max 8*p+20*q, p+q ≤11, 3*p+2*q≤30, p+3*q≤28, p≥0, q≥0 The solution is p = 5/2 and ...
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### How to label different plots on one graph

I need to sign each plot separately, but I don’t know how to do it. PlotLabel signs all of them above the y axis
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### how to use implicit differentiation using Wolfram alpha. two dependent variables

Im stuck trying to feed the formula into Wolfram alpha, I gotta solve for $\frac{d}{dt}{x^2y^2}=16$
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### I found an unusual (at least for me) answer in Wolfram Alpha I don't understand

Sorry in advance, is my first question and i found something weird in wolfram The problem: Given a function f, and a chain of links with lengths (h0, h1, h2...), calculate the points where every ...
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### Should I waste my time with wolfram alpha to solve such problem like $x^3+y^3+z^3=390$?

I'm sorry to ask this question probably it is not suitable here. However I read some papers in number theory related to the solution of $x^3+y^3+z^3=n$ for some known solved problem about ...
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### Specify parameters Wolfram Alpha

Hopefully, this kind of question is ok, have seen a couple of other WA-queries that hasn't been downvoted. Apologies if not. I want to minimize say $f(x)=ax^2+bx+c$. Wolfram Alpha gives me an ...
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### How do I calculate the sine integral for a specific input?

I need to solve an equation containing the Sine Integral $\mathrm{Si}\left(\frac{2 k \pi}{x}\right)$ in mathjs which doesn't have the $\mathrm{Si}$ function. Is there another way to represent this? ...
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### Is it mathematically valid to take the limit of an **equation** as opposed to an expression?

Wolfram Alpha seems to think it's okay to write this: $$\lim_{n \to \infty} (n=\frac{n^2}{n})=True$$ I understand what is meant, and also why it returns True, but is this a mathematically valid ...
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### Find the leading digit(s) of a factorial

What are the better methods (algorithms) to computing the first number (or few leading numbers) of a large factorial. Wolfram alpha seems pretty fast and handles large numbers. Is it accurate? Does ...
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### How to calculate the area of a polar curve in Wolfram Alpha?

I know I can use plot polar r = cos(3theta), theta from pi/6 to -pi/6 to plot the polar curve of a equation, but I would like to check if my math is correct when calculating the area inside the curve. ...
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### How to plot the polar equation theta = pi/6 on wolframalpha

I need to plot the polar equation theta = pi/6 My question has two parts. 1) Is it a line? I'm pretty sure it is, since the angle theta in the polar equation is a constant, but since I was not ...
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### intersection of numbers on wolfram [closed]

After evaluations of the Riemann Hypothesis, with reflective thoughts over a year as to how to solve it, a formula that is very close has been found, if not distinctly the act of the original proof, ...
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